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Degree 8 and Genus 5 Curves in ℙ3 and The Horrocks-Mumford Bundle

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Algebraic Geometry and Singularities

Part of the book series: Progress in Mathematics ((PM,volume 134))

Abstract

We construct curves of degree 8 and genus 5 on a Kummer surface S (Proposition 1–6). We show that the exact sequence of normal bundles associated with a generic such curve splits (Theorem 3–4).

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References

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Toronto, Toronto, M5S 1A1, Canada

    M. R. González-Dorrego

Authors
  1. M. R. González-Dorrego
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Editor information

Editors and Affiliations

  1. Dep. de Algebra, Geometría y Topología Fac. de Ciencias, Universidad de Valladolid, Prado de la Magdalena s/n, 47005, Valladolid, Spain

    Antonio Campillo López

  2. Dept. of Algebra, Computatión, Geometría y Topología Fac. de Matemáticas, Universidad de Sevilla, Tarfia s/n, 41012, Sevilla, Spain

    Luis Narváez Macarro

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© 1996 Birkhäuser Verlag Basel/Switzerland

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González-Dorrego, M.R. (1996). Degree 8 and Genus 5 Curves in ℙ3 and The Horrocks-Mumford Bundle. In: López, A.C., Macarro, L.N. (eds) Algebraic Geometry and Singularities. Progress in Mathematics, vol 134. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-9020-5_16

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  • DOI: https://doi.org/10.1007/978-3-0348-9020-5_16

  • Publisher Name: Birkhäuser Basel

  • Print ISBN: 978-3-0348-9870-6

  • Online ISBN: 978-3-0348-9020-5

  • eBook Packages: Springer Book Archive

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